a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.
Answers
Answer:
A
Step-by-step explanation:
The statement 'the bike distance is greater than the run distance.' must be true.
The correct answer is option D.
What is distance?"It is the length of the line joining the two points."
Angle properties:In any triangle,
the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.For given example,
We have given two angles of triangle.
65° and 57°
We know, the sum of all angles of triangle is 180°.
Let 'x' be the remaining angle.
⇒ x + 65° + 57 = 180°
⇒ x +122° = 180°
⇒ x = 58°
We know,
In any triangle,
- the smallest side and smallest angle are opposite one another.
- the mid-sized side and mid-sized angle are opposite one another.
- the largest side and largest angle are opposite one another.
Here,
57° < 58° < 65°
⇒ Run < Bike < Swim
This means, the statement 'the bike distance is greater than the run distance.' is correct.
The correct answer is option D.
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Related Questions
The length of rectangular garden is 3 feet longer than the width. If the area of the garden is 40 square feet, find the length and width of the garden.
The length is _____________ ft
The width is ______________ ft
Answers
Answer:
length = 8 ft
width = 5 ft
Step-by-step explanation:
width = w
length = w + 3
Area of rectangular garden = 40 square feet
length *width = 40
(w + 3) *w = 40
w*w + 3*w = 40
w² + 3w = 40
w² + 3w - 40 = 0
w² + 8w - 5w - 8*5 = 0
w(w + 8) - 5 (w +8) =0
(w + 8) (w - 5) = 0
w - 5 = 0 {Ignore w + 8 =0, as measurement will not be in -ve}
w = 5 ft
l = 5 + 3
l = 8 ft
A shipment of sugar fills 8 containers. If each container holds 2 1/6 tons of sugar, what is the amount of sugar in the entire shipment?
Answers
Answer:
17 1/3 tons of suger
Step-by-step explanation:
2 1/6 * 8 = 17 2/6 or 17 1/3
Two groups of school children had their forearm lengths measured. Dot plots are provided showing these results.
a
Group Y. There were 6 children who had a forearm length that measured longer than 12 inches.
b
Group X. There were 4 children who had the lowest forearm length of 10 inches in this group.
c
Group X. None of the children in this group had a forearm length longer than 12 inches.
d
Group Y. One child in this group had the smallest forearm length of 10 inches.
Answers
Answer:
Stament a, b, and c are correct.
Statement d is INCORRECT.
Step-by-step explanation:
Based on the dot plots given, the following statements are true and correct:
✔️Statement A is correct
Rationale: in the dot plot representing group Y, there are 6 dots on number 13. These shows that 6 children have an arm length of 13 inches. This means that there are actually 6 children who had a forearm length that measured longer than 12 inches.
✔️Statement b is correct:
Rationale: the lowest forearm length displayed on the dot plot for group X is 10 inches, represented by 4 dots.
✔️Statement c is correct:
Rationale: the dot plot for group X shows that the maximum arm length recorded for group X was 12 inches. Therefore no child in group X has a forearm length that is longer than 12 inches.
❌Statement d is NOT CORRECT
Rationale: the dot plot for group Y shows that 2 children had the smallest forearm length of 11 inches.
A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.
Answers
Answer:
B. Yes, all the conditions are met.
Step-by-step explanation:
According to the question
There is a random sample of 111 people also these people are independent
The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size
And, the number of success in the sample is 93
So, the number of failure would be
= 111 - 93
= 18
So, the 93 and 18 would be higher than 10
Therefore, the option b is correct
What is the approximate surface area of the Hayden Sphere in terms of T?
4731 ft?
37857 ft?
75697 ft2
18927 ft?
Answers
Answer:
[tex]A=7569\pi \ ft^2[/tex]
Step-by-step explanation:
The diameter of a sphere is 87 feet.
We need to find its surface area. The formula for surface area is given by :
[tex]A=4\pi r^2[/tex]
Where
r is the radius of the sphere
[tex]A=4\pi \times (\dfrac{87}{2})^2\\\\=7569\pi \ ft^2[/tex]
So, the surface area of the sphere is equal to [tex]7569\pi \ ft^2[/tex].
I need help with this i cant cuaet understand it.
Answers
Answer:
Seattle is more likely to have rain.
Step-by-step explanation:
Seattle has a 75% chance of rain
Tacoma has a 1/4 chance of rain.
100% = 4/4
75% = 3/4
50% = 2/4
25% = 1/4
25% < 75%
Answer:
Step-by-step explanation:
12/23 plus -11/23 e eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
1/23
Step-by-step explanation:
This honestly super easy, but here it is!
12/23+(-11/23)
With no negatives, it would be 12/23+11/23 and the answer would be 23/23 AKA 1, because 12+11=23.
With negatives though, you always have to subtract the number itself from the positive number if the number is negative. Here we will subtract 11 from 12, which brings us to 1/23.
Hope this helped!
I wouldn't mind a 5-star rating, a thanks, or even a Brainliest :D
-ChocoChocoCho
Kianna started her homework at 4:30 pm. She finished at 5:05 pm. How many SECONDS did it take her to finish her homework? *
1 point
Answers
Answer:
2100 second
Step-by-step explanation:
4:30 pm to minutes
4 × 60 + 30 = 240 + 30
= 270 minutes
5:05 to minutes
5 × 60 + 5 = 300 + 5
= 305
4:30 to 5:05
305 - 270
= 35 minutes
35 minutes to second
35 × 60
= 2100 second
Answer:
2100
Step-by-step explanation:
25 minutes you need to know that 60 sec =1 hour.35x60=2100
3) Determine the greatest common factor between
Xy2 and x6y2
Answers
Answer:
it would be GCF= xy^2
Step-by-step explanation:
because you have to put the lowest variable for the GCF, therefore, its only 1 x and then y^2
For the following right triangle, find the side length x.
X
12
35
help pls
Answers
Answer:
the length of side X is 37
Four fewer than triple the sum of x and 3 is 17
Answers
Answer:
4- 3(x -3) =17 x =10
Step-by-step explanation:
Then to solve that, we are going to add 4 to both sides. So now our equation looks like 3(x+3)=21. Then divide by 3 on both sides. (x+3)=7. Subtract 3 on both sides. x=4.
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O DECIMALS, PROPORTIONS, PERCENTS
Writing a decimal number given its name: Advance
Write the following number in standard decimal form.
thirteen and three hundred four thousandths
Answers
Answer:
Step-by-step explanation:
404 not found
Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?
Answers
Answer:
Step-by-step explanation:
1 1/5 of 1 1/2 meters
= (1+1/5) x (1+1/2)
= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2
= 1 + 1/2 + 1/5 + 1/10
= 1 + (1x5+1x2+1)/10
= 1 8/10
= 1 4/5 meters
Answer:
1 4/5 meters
Step-by-step explanation:
1 1/5 of 1 1/2 meters
= (1+1/5) x (1+1/2)
= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2
= 1 + 1/2 + 1/5 + 1/10
= 1 + (1x5+1x2+1)/10
= 1 8/10
= 1 4/5 meters
An airplane is flying 4 miles directly over your house. The distance between your house and the airport is 12 miles. How far apart are the airplane and the airport?
Answers
Answer:
c=7.180 miles. 2. Jack is on one side of a 200-foot-wide canyon and Jill is on the other. Jack and Jill can both ... a=2.947 miles. 5. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices ...
math pre calc, transformation of radical functions
PLEASE HELP GOT TO HAND THIS IN SOON IM CONFUSED.
I WILL VENMO ANYONE WITH GOOD ANSWERS
Answers
Answer:
Im pretty sure you can just search this up number by number and you will find all the answers
solve for x in the diagram below
Answers
Answer:
15
Step-by-step explanation:
45+15=4x
60=4x
15=x
PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME
Answers
Answer:
A
Step-by-step explanation:
2(10+7)
2(17)
=34
Answer:
the answer is a
Step-by-step explanation:
10 times 2 plus 7 times 2=34
Find the lateral area of this cone.
Leave your answer in terms of pi
15cm
8cm
Answers
Answer:
lateral surface area of cone =
[tex]\pi rl[/tex]
where, l = slant height, and r = radius
then
[tex]l.a = \pi \times 8 \times 17[/tex]
[tex]l.a = 136\pi[/tex]
The lateral area of this cone will be 136 π. Lateral area is found as the product of pi ,radius and slant height.
What is a cone?It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
lateral area of this cone is found as;
L=πrl
L=π×8×17
L=136π
Hence,the lateral area of this cone will be 136 π.
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Which of the following could be the ratio between the lengths of the two legs
of a 30-60-90 triangle?
Check all that apply.
O A. 1: 13
O B. 3: 315
O C. :
OD. 1: 12
O E. : 13
O F. 13:3
Answers
Answer:
Step-by-step explanation:
we know that
In a triangle
the ratio between the lengths of the two legs is equal to the tangent
so
therefore
the answer is
Option B
-------> could be the ratio
because is the value of the
Option C
------> could be the ratio
because is the value of the
Option E
-------> could be the ratio
because is the value of the
The options B, C and E giving the ratios are correct.
What are ratios?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
Given that, a 30-60-90 right triangle, we need to find the ratio between the lengths of the two legs of the triangle,
Since, we know that,
In a right triangle, the ratio between the lengths of the two legs is equal to the tangent.
so,
Tan 30° = 1/√3
Also,
√3 / 3 = 1/√3
3/3√3 = 1/√3
Hence, the options B, C and E giving the ratios are correct.
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Find g(-6) when g(x)
= x+3/x-1
Answers
Answer: The answer would be 3/7.
Step-by-step explanation:
A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?
Answers
Answer:
4 feet is left in the wall
Step-by-step explanation:
If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.
Answer:
2 ft.
Step-by-step explanation:
14 - 10 = 4.
4/2 = 2
You divide beacuse theres space on botrhsides of the painting.
Find the roots. 2x^2+7x-15=0
Answers
Root 2= -5
Answer
3/2, -5
Step-by-step explanation:
describe a good and safe relationship
Answers
Answer:
Many people rush into relationships, whether it be romantic or friendly. No matter the kind of relationship, the number one thing you want to make sure you have is boundaries. When you get to know someone, you have to make sure they respect your beliefs, your boundaries, and won't peer pressure you into doing anything. You also want to make sure the person you are getting to know is getting to know you for you and not anything else. It has been proven that the more happy relationships and healthy relationships we have, the longer we live. But it also works the other way around. That's why we have to make sure we surround ourselves with the right kinds of people otherwise, we'll just end up getting hurt. It's very common for people to be influenced by outside forces and, therefore, hurt us and turn around and instead of being our loved ones, they're our enemies. That's why we have to make sure we choose the right kinds of people.
Step-by-step explanation:
I hope this helps :)
add 8 and 17, double the sum, and then subtract three
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is 47 as (18+7)×2-3=47.
hope this helps,have a great day!!
~Pinky~
An expression is defined as a set of numbers, variables, and mathematical operations. The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The solution for the statement "add 8 and 17, double the sum, and then subtract three" can be done as,
2(8+17) - 3
= 47
Hence, The solution for the statement "add 8 and 17, double the sum, and then subtract three" is 47.
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Determine if the representation below is an example of a function or not a function (1,3), (3,3), (4,5), (6,5), (7,7), (9,7)
Answers
Answer:
Yes.
Step-by-step explanation:
No x value is used twice.
If y=4, what does x equal??
Answers
Answer:
since y=4
from one of the equations
6x+4y=46
substitute y=4 In the equation
6x+4(4)=46
6x+16=46
6x=46-16
6x=30
divide both sides by the co efficient of'x'
6x/6=30/6
x=5
please answer asap! no scam links or scam comments or reported.
Answers
Answer:
C
Step-by-step explanation:
Answer:
B. The longer a skydiver is in freefall, the more feet they fall per second
Step-by-step explanation:
Approximately how many gallons are in
7 liters? (1 L -0.26 gal.)
A 1.8 gal
C 7.3 gal
B 6.7 gal
D 46 gal
Answers
Answer:
A po ang answer kahit icompute pa po.
Step-by-step explanation:
hope it helps you po!
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answers
Answer:
Let x be the number of 3- point questions and y be the number of 5-points questions.
Step-by-step explanation:
Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________
Answers
Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]